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Finding the Third Proportional to 21,978 and 48,879

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Solution

The third proportional to 21,978 and 48,879 is: 108,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978 : 48,879 = 48,879 : x
  2. Step 2: Convert to fraction form
    21,978/48,879 = 48,879/x
  3. Step 3: Cross multiply
    21,978x = 48,879 × 48,879
  4. Step 4: Simplify right side
    21,978x = 2,389,156,641
  5. Step 5: Solve for x
    x = 2,389,156,641/21,978
  6. Step 6: Final answer
    x = 108,706.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.